Title

Stress analysis of clustered hexagonal prismatic composite cells

Keywords

Ceramic; Composite; Finite element modeling; Micromechanics; Stress analysis

Abstract

A cylindrical composite cell is typically used as the micro-mechanics model for analyzing stress distributions in fiber reinforced unidirectional composite materials. The composite cell consists of the fiber in the axis of a cylindrical matrix. Analytical solutions have used two types of boundary conditions on the external cylindrical surface of the composite cell to simulate a composite material. In the present study, a realistic micro-mechanics composite model consisting of hexagonally arranged fibers embedded in the matrix was investigated. Each of the fibers is embedded in a hexagonal matrix prism. A cluster of these prisms was modeled in which a central prism is surrounded by one layer of similar hexagonal prisms. I-DEAS finite element modeling was used to solve the displacements and stresses at the central prismatic boundaries which are compared with the results obtained by applying either Type-I or Type-II boundary conditions to the heretofore typical cylindrical composite cell. Simulation results show that radial displacement and stress at the matrix-matrix interface between the central and adjacent hexagonal prismatic cell for the clustered hexagonal prisms composite material model are not zero for most conditions when varying the fiber volume fraction. However, the radial stress at the interface approaches zero only when the fiber volume fraction is very low. Therefore, both Type-I and Type-II boundary conditions may not be valid when used in the analysis of micro-mechanics model to represent a realistic composite material. Based on the present study, parabolic relationships between the fiber volume fraction and (1) radial stress, and the (2) displacement at the central prism boundaries were obtained. It is suggested that these relationships be used as a Type-Ill boundary condition in a single cylindrical composite cell models.

Publication Date

1-1-1996

Publication Title

Materials Transactions, JIM

Volume

37

Issue

5

Number of Pages

1166-1170

Document Type

Article

Identifier

scopus

DOI Link

https://doi.org/10.2320/matertrans1989.37.1166

Socpus ID

0030149652 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0030149652

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